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110112012000012 = 2231117943571069597
BaseRepresentation
bin11001000010010101110011…
…010111000101101100001100
3112102212121100102212221122010
4121002111303113011230030
5103413033400033000022
61030104432053421220
732123221210021341
oct3102256327055414
9472777312787563
10110112012000012
11320a3273183730
121042454203a810
1349596975876c9
141d296424247c8
15cae3ed28d50c
hex6425735c5b0c

110112012000012 has 96 divisors (see below), whose sum is σ = 281915912920320. Its totient is φ = 33173220453120.

The previous prime is 110112011999963. The next prime is 110112012000017. The reversal of 110112012000012 is 210000210211011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110112012000017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102412398 + ... + 103481994.

It is an arithmetic number, because the mean of its divisors is an integer number (2936624092920).

Almost surely, 2110112012000012 is an apocalyptic number.

110112012000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112012000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140957956460160).

110112012000012 is an abundant number, since it is smaller than the sum of its proper divisors (171803900920308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110112012000012 is a wasteful number, since it uses less digits than its factorization.

110112012000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074151 (or 1074149 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110112012000012 its reverse (210000210211011), we get a palindrome (320112222211023).

The spelling of 110112012000012 in words is "one hundred ten trillion, one hundred twelve billion, twelve million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 358 537 716 1074 1969 2148 3938 4357 5907 7876 8714 11814 13071 17428 23628 26142 47927 52284 95854 143781 191708 287562 575124 779903 1069597 1559806 2139194 2339709 3119612 3208791 4278388 4679418 6417582 8578933 9358836 11765567 12835164 17157866 23531134 25736799 34315732 35296701 47062268 51473598 70593402 102947196 141186804 191457863 382915726 574373589 765831452 1148747178 2106036493 2297494356 4212072986 4660234129 6318109479 8424145972 9320468258 12636218958 13980702387 18640936516 25272437916 27961404774 51262575419 55922809548 102525150838 153787726257 205050301676 307575452514 615150905028 834181909091 1668363818182 2502545727273 3336727636364 5005091454546 9176001000001 10010182909092 18352002000002 27528003000003 36704004000004 55056006000006 110112012000012